Transforming the Cotangent Graph - All

Cotangent is the reciprocal trig function of tangent function and can be defined as cot(theta)=cos(theta)/sin(theta). It is an odd function, meaning cot(-theta)=-cot(theta), and it has the property that cot(theta+pi)=cot(theta). Because sine is the denominator, and the function is undefined when sin(theta)=0, the cotangent graph has vertical asymptotes at all integer multiples of pi, when sin(theta)=0.